{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## matplotlib 基础"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(0, 10, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = np.sin(x)\n",
    "cosy = np.cos(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'sin(x) and cos(x)')"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, label=\"sin(x)\")\n",
    "plt.plot(x,cosy,color = \"red\", label=\"cos(y)\")\n",
    "plt.axis([-1, 11, -1.5, 1.5])\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y\")\n",
    "plt.legend()\n",
    "plt.title(\"sin(x) and cos(x)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## scatter plot 散点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0xbd01bbe908>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, y)\n",
    "plt.scatter(x,cosy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0xbd01e25108>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JhSFE7z1c+W/Nw4MO5Puc9TK1rnumGSQUXZUhu5ZBPVCywkw94LMnB1YdZ2XF4Kvjczx1uMhcMyBMMhZbMZ892c9Q0SOTcl399Nmjfbx5dRGE6LkommHKZ08NMFzyeO3iLK5l9DJ2hKA/b6+SRI70eaSp5PRIkX93aZYwyUhSSQbYpoFABdCFVkScSpIkQ3ay3G7siVJJkqbkbAPPMWlFKUdzNqcPFbk00+LLK86521HwcNml2o6UEyRIMISg5Jq0I6WDd28U65FA704jobeKSKWSggwBmZQI1A3BMiDN1E9nUpJ3rA1dN90N23onY78406ToWT25aG0lbDNIsAwYKef43KlBQD33VC3YUEp7+fwMRwfyPDO2/Pw1P9abnQ8ZOpDvYzayjuVspb8WPYswTnse47Jn0wgSRsrehqXwKzcKp+shQZwCMN+KeZKN9dNffmKQN67Mc3OhjWkKBvIOxwbzfOWF4wD8y3cn6MtZSCkJE+Ubf/ZYhQ8n1SZoJWfzicNl8rbJxZkmSSap5GyGSx7TdZ96OyHKVM4YxqkKjKjdeM8SJJkKlLYl8KOMREpqgZI7rs81Gcjfabt7+bzK6OtBQn/BIZPw+CGLp4+ovYT//Dtvcbsa7Og9kZ1zyjp/l1L9O0UF9iiRICQ1P8E0YKm1bFlcuU+x8n1ohillzyJMsp77pORZVHIWNxZaPVlksRVhGYJf/8RyAG4ECY4pNrQYPkyWWc3G6EC+j9nIOhYnSk44XHK5NNMkTDKklJwYzFPzY37vhWO8Oj4H3KnL/tHr13sf7CcOFXj7RhXHFDQ6joeN9NtXx+f41NE+pmoBC60IwxD89c+M9QLTrz4xyPnJes+X/sxYmYafcGGqTs42ewUzJ4aK9BdcLEPgdzYYW4EK4l3iTAVH2+gETkNgIQlTEKkK9kqaUcw1I14dn+VznVXIyhvgmdHyhl0F+/IOk9WAFfL8tuj+vAHYllpJdL+WSMhbgrxj4scZ7TijGUS8drHBv3x3gl95YpCvvHB8VYAVAm4stEk7+s7jwwUcy2S46DJTDwEli1RyNvUgpuEnDBRk73XlbWNDi6He7Hw00IF8H7DRsnii6mOb8LOry/02Tg3niVN6ums7TnuulRNDxd5jTw0X19VlV36wh4oenznex/mJOgi5rusBVt9Quj7zmh+vkjK6zpVKzqbkWfz81hLv3KopB4snqRqCt2/EfOZ4H5mUtKOEajui5iesp2xkQNaJjkYqMYQKnCtlEInaYBRC/ezPJ+qMT9X4XqdpV5RmvWKnSs7me+duMFTyer+TgmPi2gI/3lha2QzTAMcUtKLVtwLbNMmkkotyluDfXZrHs01sU/DW9SVm6iHT9YD3blZxbYOlVkiYZBgCLFPw5tVFjg3mOVLxKDgmDVvtKZiWktDeuLrA5bkmzx7t46ufP8kfvX6dgeL6FsPf/5UTdzWwQnOwEFLe3UV8Lzz33HPyrbfeuu/Pux9ZmT2WPIubCy0uzjR5rD/HdC2g2o4YLLo9XboRJLxwaoB/8LufvKfny7Ksl13bpsHXfuPxVRuFK/nG99/HNuHqXPuOG8rakvWXz89wYarGOzeqPbkgSjIkMFR0cEyDVpSSZhlVP+5tFN4LlqG0a8+2+J1PjfLnVxboy1k9ySlMMk4O5vhwqslvfOJQL6D97OoC1XbIbD3acVYOy3r5ZueVdCzzpiHIpMQA+vM2A0UXgPlmRJpJKjmLZpj2ZKSCayKBIErJpMSPU8IkwzENBosOv/7USG+V8d1zN/hwsr6q26RjmVRyNl//0uk7EoXTIwUuzbR0yf4BRAjxtpTyubVf1xn5A2ZltjvfDLg40wSg7seESUrVjym4Vq9oZ6vgsZKNPsBT1TaXZ1vkHZPRisfhsser43Oc6nThW7s6cE3BuauLlDyr18DpzatLvHBqYN3nnVgKOht9JgXXYqoWIDqvqRmqwO3HKZYpMAXrZuQ7QUqwLEHJs3j3Vg3PMpiuB2RSOVSKjsXbN6v05RwuTNVpBkq/rrZCZhrR3T/vFt/vWiqVvVL9dAbMtWLmWzEFxyDJwDIhzkw+e7JT/WkKwjRjrh5SCxLKrkmcZKSZpJWmpPWQKFE9Wr577gYz9VDtmbgmYZT0MvpvvvjUutfASmvqtbkmX//jaY4O5lbVIWgOFjojv09sJJ984/vvq54fQvCzqwu93hrNUG1CxklCO86o5ByKnsWpoTxJtjoT3uj51mb679ys8uzRPqbrAfVOL5BPH+tjuKQ2yKIkxY+z3mO6y/AgSrjUcVQkacZ8U/VQGSm7/JWTA0SppB3EXJhuYBqCajtCdlwdj/UrLXaxFVH1Y+IkxTQgSjubhpK7yobXYhmCsT6PKElxLZNqZxMQqeSYdpRwpOJRyTukWcaNhTatKEXK7d8Yu9ideuj4Hk5coIqH0kRiGODYKoMuumol4dkmFyZrNDrXwUoMoJizONqXox2n/NrpQ8RpypXZFvUgVu0GjpRXyV1hknBhssG1+RaHyx7Pn+xHSnrteS0Bpmmw1I57Or4O6PsPnZE/QDZrXLRSs64HMSVXyRHFTll1GIFlSb50VpVdr9242oi1G6XT9ZCCazHdCDsbkh2XRKdLX8mzeHV8gc+eHLxj0+yj6TrPn+zn5xN1blcDTAGGkFyfbzHfijh7uMiFqSZZJjk6mENKqAfKUnd1PuXkYIFyzqYVpcp7nUpMkd1VEN2IvG2w0IyI04yBAgzmbWYbIVFHX0dKPEcFyWtz/qaWw624lwDeRQJhp7KVDLI4JUszZusBQghMQ+Bv8EQS8CyDiaqPH2f8u4szHCrnGCyo96vmR7x7qwbcoJKzidO01/+me6N9+0YV21RW0jTLuLnoc3KoQH/O4sPJum6sdcDQgfw+sFnjolXT012rlyk/fUQVgrx5dZGiZ5FJuaONqpWuiPlmwMdzTWQmmW+GVDyLG82o55LoaqoCsW5fDoHAsy0KrsVIyWWhFRGlEscysITg3Vs1bNPAsw3mGqHSgoUSgbIMbi76DBZtCo6BZZrcXlKyx27SipS3PE4lU/UIiFbJUAK4tdgi7dw4Eyl3fA47kbV2SpItyy+2IZWNcQMkUGurQinbVK0CHCtifKrO4bJHzjZACP78ygK//MQAV+faPY9/zjbxO6u+Gwtt8o7BYivG7BQy5R2TZpj2Rs5t1e5hLXfbMle32r037jmQCyGOAv8PcBi1Sn5JSvmP7vW4DxObeXlX9m+p5G3qfsLpkSKDRZdGkPTcC1O1YN2qwI0u/G6mH6eqs6EpBImQZJlkuh5ioNweiZT8f+9PMVi0OXu4vK7//NmjFWp+zGIzohWqTDvt+MBtU1APJKahmqg0AmU/tE1VoFT0LMb6cjxzpMy5qwtMLLXXDaC2oSSD8C6z3VRCc417RK75eyvKuDrXumtNfjeD+NqbQtdKKdlexp9kEtcS5GyTRufmbxmC+WaIEEKtuOKUN64sdCQk2XPOhIlgsRVS92PakSDJJEXT4PZSG0Oo6tQLkzUqeXvd1eS3fnSJkbJLlMpV195GK8/uqLuNrtW7bbWrg/8y96yRCyFGgVEp5TtCiBLwNvDXpJQXNnrMo6aRd0vFVwbIriY9vMIO1+1at9XFuVb/Xs8n3f2Zq3PNXpHOVC3AEsqXHaWqRN21DHK2SX/e4bGBPJmUHB8s9CyEP59s4FgGgwWHIE6ZqQeUPJskzRCdrLsVJYhOwX07SldtzJ4aLpJmKsgvNjfeXDxcdvDjbFdcLFuxl5n13bDTDV8DQChXjG2qTo5xplZIQZxybCBPf95huuZzuxpgKW0J0zAwhODJQwXGp5tkWdZx06jjZpnENA2eGC6o85HwmeN92B0HDKjV3bmP1cb3508Pr7r2Xj4/c8d1fn2+ycXpJp97fHDDa3Wjz0fXdbMe2/kMPIzsmUYupZwCpjp/bwghxoExYMNA/qixSj7pXHQ3FloYQuBY5h1ZyEYXb5e1Uk2UpFyda/Lf/bMP+NLZkV7w/+rnT/Lf/rP3QUIl7/D4cIF/f32JLFNtVE8OFejLO0ipWs4WXZOrcy1m6iHVdshSO8IxTZCS6VpAJjPKnkUpZ2MZcHspAKG6AS62ElKpepb4sWqI5ZiCMEnJ2SZCCBZaGztE6oHKGveSlXbA+x3ILQF0/O5rE+7tSDwrz1n5zUEIQ8kxQpKm0EzUTbDajtSGbzsmk5CksuO1zxACxqcaZBJGyi5hIqkHMWGirJEF28AyDdIk4/RIkXdv1fjCmUO987gy26LoKl/72u6U6608p2pBr4oX1u+HfjfVp7rP+mp2tR+5EOIE8Czw5jrf+6oQ4i0hxFtzc3O7+bT7nm5QreTs3szHIxWPowP5VT21u7rkVqzsMT3XCJTzQEr8KOa1i7P8F999h7/3gw8A+KtnD/PZU4O8cGqQJ0fKnBoucqico+BaVHI2rTDhxkKbqarPn1+ep+rHfOHMIYI4I4xVJt+OM/w4IYg6WbiEIJYMFW3SJGW+GZNmSnPuBhuJCiC3Fn2uL7TJMtVdUaAuOoEKSAKVkT7WlyNOd8O/sjGWYWB2Aur9ovs6M6l6sBgGVDyLyoq9iO3cVCRQdAzytkFf3sG11eNdSxClKiNPpSpSqgcJH882qIcpjqncMQXb6N1A4lSSsw1m6hFpmjFYcJUTp/N+uLbJp4/1cXyo0Gn1u7xKqgcxAnqb8bAcdMf6cqt+FmChFTFQWL05vzZIr/e4rapPdZ/11ezaZqcQogj8C+DvSCnra78vpXwJeAmUtLJbz7ub7KXmtrZx0je+//6G1Xhbnd+FyTqXZxo8faTMlbkWrqUm2Mw2Qqp+gm0K3r6xhB9nvZa23eMfLrlMVX0GC2rpPdNQBSnQzaZTrsw0lOtEQJJleJbRaRQlWWpH/J+/9xzfO3eDH380S4bKdNdxyZECaZJR8ixuV33Srn4gQMjlTDSVMFiwubm4up3tWrox+G7DfdgpTNprjE6jL1jux9JFCMFwyWViqb3t41kGlD2bowN56kGMa5q4tkGSZlxbaBFnKps2BSRpt1OlwjQMrM74OdcSGEJJKZZpIJKMMM3wUBWlIoOx/jwvdBpy1fyYZ4/2rWrD65gGzSDh6bHV/V66n5e1K0/bNDhcXp1trw3S6z1uq0193XpgNbuSkQshbFQQ/6dSyh/sxjHvN/d7IvlOs5CV5/epo2pT8s2ri8zWfPwoYaqmbIFhnDLfiLg82+Tt64u8cWVh1Wrg5HCRv/tbT3FqqMBULURmGQaSNFtuCPXvry+RdZtvo4KPIVS6lkl1U5JAwbFwLJNknSC+kkyqiTmwHNjWBuOfXVsi2EIel9yb5/xeE/GNx26sprsyWe+mYQC3Flr4m7hS1uJZgpofc36yRiOIKTgC1zaRCGxTrTJsS1WPdp+3+3sKOu1+k06Xr7izQZlkkoJjdrpNhiSpkn/qfsxM3ee1i7P85KNZBPDFM8O962eszyPNMt68tsi5j+e5Pt/sTSVab+X5td94HNM0Np2qtd7jttK6H5ZpXbvFbmx2CuA7wKKU8u9s5zH7cbPzbjZc7oWdbtasPb/5ZsD5iToTVR9DqBanqZQknaxXCDCFoK/g8E/+s+fvcLrcXGxzfa5BO+60ks0kWSeTE0I5GTKpskHPMkmlJE4zDpc9Xv+7X+C3/tFPcQzBfCtS49I2wQREZwLQbnrHt0KgstCuNXKhFe+67fF+YhuQdyyCJOWFkwP8wtF+/tlf3mKpHWEagjjJWHt/sAwouxZ+kpF1nCu//clR3r9V4/ZSGz9O6cs5FF2D+WZMK0pwLZPH+nJ8+kQf7TDttYw4VFJNvLrj7RZbMZYh+NoXNm7vAHu30n0UXSt7WRD0y8BXgJ8LId7rfO3vSSn/dBeOfd+43+0+dzo2bu35DRU9Pn/a5aPpOhenmzTDhCSRvUBpALGU+EHMH/zwAgaSy7Mtco7BkUqOqZpPKpVmPVBw8OOUajtGCNW9T3Y2Lk0hiLMMy1CTZX7t9DAAAkE7Snp2xM1IAVPemyyyE+zOpqZEVXUGSUozTPeVU+VuMDrTjdJUcu7aItcW/U77YovFVrzu79boVGxamaQdZUgL3rgy3xmCnWKbgizLmG0kmKZB2bUwDADCWJMAACAASURBVANhCGrtmKvzSgKq+zFzDdUK4IXHBzg5PATc2TxtJWsD7e//yoktA+1OgvN+mNa1X9gN18rr3Nfto73hQWhuO7kQNzq/s6MVhosuf/LBFG2Z9TYTQWXArSTjxrzq/51m4EcZ1XZMI0hIU0krTlcUoqgAGCUSwxDkLYFjGoxUPFxLtaL9pScG+fYrl6i2Q+Ya0bbf+Hvtp7ITukEclnX4gx7EodOP3RSkEtJE8omRIu/dqlEP7gzivWlGKSy1Y8gkKWrl1g4THFu13807Vq8NwKGSrXq8S4lrGbx3u8Zwp2Fbt2VE0TV7PdNh42Tnbrzhd+sn1+jKzh53s+FyvxifqjHXCHj9ygL9eZuzR0q4lrXq/N65USWMm72gLISafZlJ5RywDIOSpwYaV301qCCIlR0tjLNeIDCFkkEe68thGIKZRshj/XmePlJZ1XCpv+Cw2Ip6A5T3E/vvjHaPJJM9K+Kb15SVNFxTQbTSKaPaAS//RjI6DpoowzBURm2ZBjnbwE8yTCGQQrXLbYUJj/XlqLZjmlFClGSYAnLO8m7BesnO+FSNP/jhBRabEQNFhyeGCwyXVODfzB6oLYV3z67aDw8yd7Phcj/oZimOZfJLj6tug39xZZE4SXvnd2a0wn/06dHeCDLR+SAmHTlDCIHRsaVFScpCM8KPlYPDsZR+DF3rmUHBsaj6qsjn5GCBp49U+PqXTnNppkUlZzNT87ky21zuFaK5b3RH40mg6sc0Q9W/ZiWi06N9s3dHouyQcaY2RBfbCdPVQHWlNAT1ICHvmMw1VO/0gmNS8SyW2jGT1YBXL0xzba55xwZj93qdqrZphTGXZxr86MMZLs/Ut5QqtaXw7tEZ+QruRXPbq42XlVlKJWczUl6WWFZWcX403eLEYIH5Zkg7Ul0MLaEG7aays5mZqb4cGfRK9G3TwLUMJDF+LPEj1T/cQNAIYk4fKnKh49z5cLLG1dkGN5Z89tjyrVmH9ayZ3Qx71dfk9oqMuvRkKCBJEmbDhLlmRH/eVj7wvI1jGUwuBbiWgW0aTFQDWmHC2SNl/uj1671r/rvnbnBhssZsI8LoFIuBWj3YptEbTLIeG8mHjin49iuXHqlNzZ2iM/JdYC+ti9vJUrrB/rkT/Rwqezx1uETBMXs2v5xtkklBnC2PJFNfV706an5M0JmSY9DRyTOJZQpaUco7N6r8rZfO8e7NKrd0EH+oCVLlKS85JkVXBfCCazFTD3EsgxNDBZ44VKQ/b2MaKqDbJrx2cZb/9P/+S/7f9yaZa4TkbUM1egtTpMxIsoyLM81N7YHrWQpvLKhK4/tlCz6o6EC+C6zMmndapbkV2/Gbd4P9cMnj08f6cG2TJFMuh2P9Oco5uzeFfiXtWDLfafXazcpWWsLbUcZE1ce1BDcWWriW6DV00hfO/sRANc+y7tJ+YJuCkmfjJxlL7YhmEDNVC4hT1ZcFVGFVmGYUXZN6EPPuzU5QlbLXpdMyDcqejWmoZmUFx+Kx/tymmfSZ0QpfPDPMhak6P3x/Us17tYy7roB+lNDSyi6wm9bFjSa6dI/Z7dNypOL1prM7puh1LRwueVTbqvQ6kZLpetDpeXLnWns7y29TKJtau6Od9h6741emuR9kAJnENdmyUKtLd2MUIE0l9SDBMlS5f9z5d8k1aQZxZzSgsq36YUKQqLmoh8ouqVT9dTKp7Iq2Zahq3k6jrqePbG09fHV8jrOjZT57coBGkPCTj2b5pby9Sm7ZzCnzqPnKu+hAvgvslnVxfKrGt350iflmSJikXJ5pcH7C5Xc/faTXBtQxVZWlbZkMFC2uzzd5/3YNP045XPYoOkZv6LEQaiNrk15VW+InkjBRunp8Pz2EmrsmA/xtBnFYbn0AkEhVwFVwLVqhunlLCUsrulKGaypwpYwIkxTTUBWnZc/gdjUAkWGaAtswuDrf5j9+/iiwccBdz7XSn7cZn2owUl7+LG3klHmUrYt6hbwL7KRceHyqxrdfucQ3vv8+337l0iqt73vnbnBtvgWo3hoA1+ZbvHFlga9/6TTf+hufYri03GxrsRVycaaJZ5sMFR1AldcnqepvYpvGKknFvMvlts6+H15sQ6gMe8W1YSBpBgmtKCVMJdEWS7cwkbTChDDOyDsWfpzRn7foy9lYppJGPn2sj0szrU33k9bbDzp7pMRSe+vP1l7KmwcBnZHvAtut0twqa3j3Vo1iZwn7cSMk6pRVT1XbDJU8XnxmZJWMc2VWNczqFmz8+lOHGJ+qYxqqO50RpVTby2FY59OatcSZJMnAsw1sU6j6gkQit3m1dON/JlVnx0+OVXjt0hyDRYfhktfzkGdSMlH17xg2fmW2xXwz5A9+eIEnhwt3DDZxLYtffUKNH9zss3W/K7P3GzqQ7xLbsS5uVfAgkSy1Y2bqIaAq+aSEIJO8f3ORm4ttcrbRu9jXm/GpRnZlxGlG0NG14+4Edx3JNeugWg5nHBsoMln1CbcrrqN09G7DtTCRlDyL3/7kKM6KYRSwLId0A+58M+DtG1Vcy2Agb7PYjJh0VMEaA/kdD4t41LshPvKBfC83SNYe+8PJGmdGy6t+ZmXW8OzRPv7FOxOdIQCyt9y1DLg81+JLwyXiJF1uK7pmxudcI8A2DVXg0Yp6/b41mq2IM/h4rrlja2mSKcnOMgXHBnK0V7ROXmqFTNWCzgapwdd+43FAVZN2V5OebRLEKQNFh+ODBaIk3TL7Xo/9XJl9P3ikA/lebpCsd+zbSz552+Tk8HJRxMqs4SsvHOcH704gUJtOQqgMu+xZNMOEkmcxVUvWnfGZSclfXlvCsw2ihFUtYVfOg9RoNmKzXvCbYQrBQN7m+RMDOJbJpZkWXzwzzB/++GOSTDJYcDhc9vjnb0+Qsw3OTzao+zFHKi6g7IxPHyn3ru/Nuo3+6w8m+M65m8zUA0bKHr/3wjG+/MmxHTehe9h4pAP5XvZ2WO/YT40UuTjdZKDorps1nBmt8ORwkalaACTQCeb1IMGxDG4utDgxVFwl43Sz/j+7MI1lCPKORV/O4fpCk6izQnYsQZJIdmBk0GjWZb3hHpmU+LHkg9s1nhkr0+zYWj73+GDv+p9rBHw4WafoWfzyEwP8eHyWW0s+xwYLfPpYH8MllexsJoX86w8m+If/5iIF1+JQ0aHux/zDf3MRoBfMH5XAvZZH2rWyl70d1jv2scECRwdzm/Zz+S9//RQ5x6Q/b5NkWa8JVtm1eOdmldMjhVXHPDOq+qA8faRCJa+m2i+1o1XZVaSDuGaXGMhb2KYqOOqO7DNNNXr79pLP65cXcExxx/V/ZU7N+ozSjEOlHF86O8JwycMyBINFd1uDIb5z7mZvRKFhGFRyNgXX4jvnbu7a69vMVbafeaQz8p1skGylpa/9/soiHVjOSOJUcna0smFv5m6D/n/wpx9hWyaGUDMexwYKHC65G/Z+HuvL8bOP5/HjjCBOVukoWlLR7BbNKFVj4YQgTjOkVJvy9SBBCGgGMX9+ea5nXzQNwZGKp2aOulbPVguQtw2uL7SJxmd49mjflpLmTD3gUMdm26XkmszUNx9ssl32Wmrdy2KlRzoj367/e6teKut9f6YecmOh1fm7z5tXF2kECZ86Wt6yX8SXPznGLz0+xO//ykl+/1dO8defO8YLpwY5PlTYcLXw4jMj+HHWG4JsPNLvrGY3MIQKtqZYOSxbUPZsJMvDnpNMdd3s/nl7KaAeJKpRm5TcXPSZqgVM13zaUcK/ePsWP3hngmsLLQqOyZPDRfx4a4F+pOz1eqd3aYQpI2tmgt4te+VFvx9jJB/pjHy7GyRbaekbeWPztsloxeP92zWKnsUzY8qxMj5V73ln/8ffObvunXnlamGuEXBlrtXr79y9ANbe4Z8cKXJhotbxn+/lb07zMJOzlfNJAFGa9drkmoYgSjMW2xECgSEkWba8mW6I5QEiAuVksU2DUGYkaUYrEjSDhPlmqHqio/rCXJptcvpQccu9qd974VhPEy+5Jo0wpRUmPTfMVmyVFe+VF/1+9Fl/pAM5bM//vdUbvJE3dqmd4McZj/Xn+MThMout8A7v7EZLt66darEZcmmmCUJlP3nb4L/63jvU/QjLNCg4Ju+bBj98b4IoVT3GPdugFel6TM3OMYSyE9qm6NUx5BwTP0oRQtCfM4kziNOst+kpUYF7bQeHOJWUPJOia7HYjugv2ISpSjIcy8AxDfw4JUhS3vg45PJcc1PJoSs7rnStfO03Np8X2mU7ssleedHvR7HSIx/It8NWb3D3++t5Y7ue2EaQbPj99e7M3dXCf//9D5hpBJiGoC9nc3GmwUIzIkklrm3QCpLO9HSBKaTSLu/WR6Z55MkkNDtJQNeh0p13asiMnONwOO8QJxnX5lvYppqLqua7Lgfzbo+2xWZE0bMQCI5UcjRCtX+TZpI0y6gHCRXPIpUSxzS21KS//MmxbQXutWwnK94rL/r9KFbSSuo22EhLPz1S4NuvXOLDyRo/u7rAZLWNYwqCOCVMMp4YLlDyLMqeGss23wxXfX8wb3Nhssa/em/ijh3y8alar/eKbQhGyi6LrYj5ZkScqmIhQ4CfZERpRs4xaMVqGRx1Pk1rJ8doNNulO06um3ED9Odtip7NLx6t8JvPHOax/hxjfXmeGC5imevvy6RALUjIsoxaO8YSgpJnkWSSVpRiGZ3yfiF4Zqy8Z/1RtuNQ26spYTvpxXS36Ix8G6ynpY9WHP7wJx8Tp5kqeCg5/LwRMl0PGe3L8fSRcs8b+/SRCi8+M7JqjuGRise1BTWhfKTkrlrqAbz002tcnWtScE2yDCaW/F4Vp+z8Z3RKP4NEkrVj4lTiRylmZ8xXJtWdWufnmp2yUiUxe7NfY9pRRiOIeXK4QMG1mGuGIMG11CoT1BDvTC5n55YBeddisuaDVH2AyjmLRhBjmgIJfPZkP0PF5Z4sm9FNct69VUMiefZoH1954fimAXe7WfFeeNHvR7GSkPL+74o999xz8q233rrvz7tbjE/V+Pofvw8Cyp7qdRImGYdLDtONiM+dGly3V8RKne7CZK0XmD9zvI+hosf1+SZT9ZBGEOOYBo0gBim5vRSs24HONlge9NDRNruqSvenBdp+qNkdDCDvqLQ7A54/3s9oX47xqQazDXXdClSmm2ZQD2JsQxAkGQXX4kjF4/aSTztO1QQr4HDZ4zPH+3vDmbvBdqPqzm6r52vzypfelX6ODeb55otPbRgcV372dtrHZT8hhHhbSvnc2q/rjPwuePn8DEkmGSjYCCHwbDWXsN3Z2NyoV8TKO/NMI2Sk5PLkSJGhotoo/Wi6QZpBkqYsxClLbRXI13NmdUeygQriBlBwTaprGlHrIK7ZLTLUNW6gNtQ/nGrgJ5Knj5R51jJ5/fIckzWf2UaIEAIpJXGqSvjzjokQAss0sFPV7tYQgqlqwGTFZ7DobkuTfvn8DPPNkJJn9T53CMFiK1p3r2mlUyVnG8RJylQteehK+HUgvwsmqj4DBZswyXoXk2sZLLQiXnh8aNNeESuXbtfmmlyebfHuzRo1P8I2BAXPZqkdKRdAKjeURTJUAM/ZBqNlj8VWTD2Ie9/XmbhmL8g6c2D9OEPKmGor4kezTQQZ1Xaihn1nYBnKmpgBCIlnGariuOOs8uOUJw8VsQx452aVG4ttcrbFs0e3dpCFSbqqsMi1VEfQtZLMv/5gYpX8OVrxMAzjwGXh20EH8rtgrC9HFKdcmm0C6kKqBwm2aWx7A+P0SIEfvHObgmtRck1uLy3v5kspWWzH6wZigfLzCiSubfKFTxyi6Fm8cWWBqr8cyHUQ1+wVBiClmh410whAQiNMlGWxI4yvXEXapsCPM/zOJr9nG70MveBazLciyp7N508P0wiSTZ0rY305Ls80ViVRYZJ17IyCb79ySc2ZNQV/cWUez7EYLDiEiRr+/NTI1n71g4gO5HeBsim1OX2oyHQ9YLEVYxmCr33h8XUvkPUKES7NtPj0sT6m6yH1IFb9xKVkthlR8TZ+WyTqg5F3bJ4YLmAYBucn6r1MR6PZa3oxWkIYLxcM5WyDWqKsit1qUInq9VP1Y/K2QZpJ2lGKYxm0woT5ZkTeMTuFR2LLYpkXnxnh/ESNa/MtpJQ9jby/YDNTD3EsVYT300tzzDZDcnbMfNPAsQyKjsVULcC2zL3/Jd1n9GbnXbLd3gkbbbI0gpgzo+We8+TyTJ2ffDRLlEo826C9SUFP3jYYLrmYhsAArs23dVMszX3FMSFOV6/81nNICcBzDFzTIE4z/DjDNpRmLoUgSTKO9Hn0F1weHy5wZa7FXCOgEST84tG+nuNrbV+j7527wbmrC53B0BZF1+LkUKHXIvqH708wWfUxhKA/75BmkiST5ByDX3tymKGSdyCHNOvNzl1muzaljQoRukVC3bL+q/NtTMPAJSXZYshxJjMWmiFhkpFkWkbR3H/Wu+7WSz0k4EcZocgouRZ5W+nrjVAFYNc2SDIYLNi8c7OqZMWmGkRxe1H173/pp+1VUsuZ0Qp/+4XjtOOslyD96c+nuDTTpOhZDJc8wiTDNQ3acUrNj5S2LyGIBZOdrPxhGtKsA/kuszZTvzBV4xOHy70eLN3xbIYhepN+Ls8ord2zTQYKHq5lcn6yvuFzKNeidodrHhw77eWTdXR01zIouCZhkpEBectASskbHy/iWEpjN4TgcMXDNATTjZCzo+U7pJa1CdJQpxXulbkWwyUPzzKoS3UsiZq4RccPX+q0woW96XvyIDhQgXyvW0HeK12P63wzJExSLs+oSShxkjFdD3EtozeeLYgTBnI2b07Xmaz6DBUc+nIWs40QUwgck95giC560o/mIJNJNRsUDPK2SSqh5DmcHinyxtUFoiSjFSmP+e2lturnIgRISSVvrzrW2v4lTxwq8Nb1JRabEZmUlDybuUZE0RUYhsC1DIqu+nxN14NVU7oehiHNByaQ72Wv4Hs5p5fPz3BhqkbNT5hYbNGKMoZLDv15tVMeJRnv3apxuOLhWgZhooYiJ4lkohbwxTMj/Oj8NJM1dWE+1pfj2kJr3dmJqppTOQa0vVBzEEkyJQ3GnQv89EiRk8NFphshtXbE9YU2fpRiGIJMSgwBc82Qup8wPlXbsMHVUNFjtOJxabbJD9+fpOxaOJbBWJ+HZ5u9or2xirLqruRhGNJ8YHqt7FWv4Lule2O5Pt/k5kKbuh8z14zIZMZiK6YdpXi2yWDRIU6zztzNFNc2KbgWg0Wnt1PvWgYCVdSw1I5JUrnh4OTuklYHcc1BRXb0assQ5F3lIBkq2NxcbJOmGWEqSTufDcc0enNpV37W1/YvuT7f5OO5Fs8d6+d3PnWEz5wYoOxZBB093rNNPnO8j8cPFbE6suZe9T15EByYjPx+tIJcy2ZSTvfGMj5Vx7NNPNtECOUDz9mw1I4ouBYC1Qb07JFKL3t45cIMUtArakik5FDJ5nZV9Wk2BYSpDtaahw+jM1A8Z5scLnuMTyn58c1rS8Tp8lIzleB0fOaOJXpDVVaugqerAc0wwXNMDCF49mhfTzKp5Gx+YazCpdkmnz253DLDMDK+9oXHuTTTeqiGNB+YQH4/WkGuZCspp3tj6W5eAuRsk3qQkKQxhiEoOBZpJnnqUJGffbzQK+tvBjGLrQghJD+fqKmWnmmGZUIm1S7+VluZXavXSolFyy2a/Y6Uqk+5Y6rmW7erba7NNbEtA8eEJBO4ptr4ty1BECUstTO+97MbDORtvtWKKLomNxfaCCFwLTVh6L3btV523+X4UIF2nK7bMmO9cYkHmQMjrdyPVpAr2UrKGevL0QgSyp4q1W9HCWkmMaTKsKMk48ZimyzL8ByLpw4XGSjYTNZ85ppBp5WtJElUtVsilRul5ifE27AEdAP9WJ/HyaE8YxVXt63V7CsMsdxKuXdpdjpzRmlGO86wDDVcIs0kRc8m11nd+nHKUjOmEaY4puqRcmvR542P53nj4wVAZd2ubTDdCOnP24xPNVY9fyNIOFRy79vrfZAcmEC+V72CN2Kr/sWnRwr87OoCE9U2txbb3FpoIyW4joFlCAquScm1WPITCo7JiaEiLzw+xFhfnoJjY5kGpiHoriY3Yqs3aKIaMFbx+LWnDm1aEarR3G8KjoljCgq2QAB2p7mbidr0TDLlSunPO7iWycmhIscG86p1swRhqOZcjmVgmQbCUGvORmdcXDtSdsZmkHD2SIml9upE78ZCi5l6uOmszPGpGt9+5RLf+P77d8wEOEjsyidfCPEi8I9Q79E/llL+w9047lp2s1fwVlbGtVLOfDPg/ESdKM34+z/4gMlawEjJoe7HBB0nimsJSp7NoZJHwbWQUjI+VV9ld6oHMXGa9nbtDSFI77G69r1bVa7Mtwi3KCTSaLaLIXbuFV+LyrSX5b5Vx5NKioxTVdTW6DR8Gyo5lHMOzTBlsOgwXHSZqPpqqHgmCTOJQE0XCpOMsb4clbyDa1n86hODq2SUIxUP2zI39IzvRyfc3XLPgVwIYQL/O/Al4Dbwl0KIH0opL9zrsfeK7byBK8c+hUnCm1eXEMDzJ/s5P1lnoRFiWapU/rH+HFfnVLHPcNGl0NHMwySj6Kn+Dj8en2G6HtAIYsJk+YreKohvpX9LoBVlJFnUmwyk0dwrmYScJcg5FksbNHDbivUstCup+RGebXV83yrxuTHfZqjk8iuPDzJRCwiTjFaYECYZsnMWgk5laZQyVfUZLbvr9hb/xvffZ6C48ar6boci78d6lt2QVv4KcEVKeVVKGQF/DPyHu3DcPWM7VsaVUs77t+qUPIvPnhpgpJwjSjPiTOniyq0iGKm4SAkz9RApZW+c21ifx2Ir5OZCGwNJkuzsI7EykG/2M0Ei7zmD0mhWYpkGqZSUtynZOWuiSXeS1UZEKRQdkyTNaEUJtSDBsQzOHC7xtS8+yUDBoRkkRGnWGwRtAa5tYHW6ckng/FSDnH1nKOvuY61kpUFiO+Pf1tJNAjeTax4EuxHIx4BbK/59u/O1VQghviqEeEsI8dbc3NwuPO3ds9038Mxoha9/6TRnj5Q5e6TEz2/X+Kdv3uD6fIuldkwYL5deWobB0X6POJMstDp9lzPJ+FSTKMkIkpSqn9x1cytdkK+53zTClLqf4McpRcfA2iJabJWjdIc5r6QZpVhGJ5nyLDIJ796qcnWuyWjFI5UZcSI7HRUFfQWLsmeT6wwxPzVUYKjo4FjmHQF1K4PEVoF+PfZbPUuX3Qjk6yWLd7ylUsqXpJTPSSmfGx4e3oWnvXt2+ga6puDPL81za8nvDHMwiVPVjrMVxr3s+xce6+PLv3CYz50coNGZPC7lcpnxVs2wNJr9hiEgySR+nPU6dW7EeivClY/ofttAZdaWgDjNCNMMP+q0vzUEcZLxhz/+GMcy+Q8+NcbZI2UOlVz68japFJimmjRUcCwQgkrO2XJVvZ5B4sVnRri12Oa1i7P86MMpXrs4y63F9qZOuLvJ4u8Hu7HZeRs4uuLfjwGTu3DcPWOl/r2ytexGI6Yky5mDZagdeM9Sk1AmqgFPHipyYjCPYRh85YXjfPfcDfrzatNFjbzK1h3XtlvoHiyavWJl7pFuIxFZu5ez9hHd+ocEFXzCJOtk6mrzEiCTajJWlKQYwubpI2XevLpIwbEQAoQQNIOEwYIqvX9mrAxsvKreTL/OZFd3F6v+vRH3u55lu+xGRv6XwJNCiJNCCAf4W8APd+G4e8ZOrYxRKunzVO+GKJVYpsFoxSPnql33q/MtPpiokbMNrs41ef3KAkg16ccUYk+DeBcdxDX7gZXXYVdKWdluIl3xM0mnVD+TavhEnEpEp/LTMQXv3Kwy1wgYLnk8f7If0xQcG8xTztkMFGzyrt0bXA47D6gvn5/h+GCBX3/qEH/16cP8+lOHOD5Y2FQmud/1LNvlnjNyKWUihPivgR+h7If/l5Tyw3s+sz1mJ1bGsb4cl/MOoO7Y07WA2UaEgcC1DYaKLkhoBgl/+OOPyVkGCIFrmwRxui0rl9kpntgq6K/nXtFBXHO/2En1cNG16MtZ3K4FmGJjDV2u+DNKJI6pBpqnWcZrl+boyznYpirB/59+95PA8qajbZpkUm5rcHP3cV3HyYXJOp86WgaWs+utZJKVA9T3U4n/rvjIpZR/CvzpbhxrP9IdL3Vxuk4jSAjTFAPl/5ad5j+mIbg632KmEZBlGZZpUnRNZZOSnaXPOgHdMgSuJTg5VOQLZ0b4P167fEf72pWszXjWfk2j2Uu2c60J6EggUA8ShFRSylbHFagCoOGiy1wjxDQElmEwVFDZ9kw97G1mvnx+hkYQM1H1qeQszo5WeP5EHy+fn+GPXr++ri1wre348kyDN68u8cLjYkdZ/W7Ws+wWB6ay80FyZrTC7376CGGiBshGiRoZVXAt8o7JYjui4Udcnm3gRyl+pAp+pmsBWabmClqm2uEWqF+6IbpZuCTvWLQidam7ltl7U7aquN/K3qXRPAhk539+lFILkm23jnAsg8eHi4z25fBskzjLME3lZX/h8QGODuT53rkbPfvfmdEyZ0fLFF2b0yMFXh2f29QWuNZx8vSRMgI4P1HfVzLJ3aBrurfB+FSNV8fnqOQcTgzmubnod0ZJqekjrTBhIU4xhMAS0EohiFMKjkEmBUGaUfEsDpc9BOqun2WSvGNgmAZxKqm1Y67PNxkqurSjNsidBWndMEuzn8joGAIipXtvdXEaAgbyFqYhkFLZDW3D4DefHully5mU/Hh8kb9ycuCOIp7vnLvJaNllfKpOPYg7FkXBH/zwAscG8oz15fhwssaZ0XLvObva+/u3a0zVgn0jk9wNOpBvg+6dfKDoEMYpwyWX21WfJJOkmSRKM7JMUvBMmmGCZah2to0wo+CaPHO4yM2lgBuLbQTgWILhoirjn6r6tOIE1zL5eK7FN37zNN/85x8QJRs7XbROgfnZBwAAIABJREFUrjkIDOYdFmSEH2dbJhrDRYdfPNrPQjumGSQ4ppJYukEcVAIkkeva/24ttqm1Izxb9ThabIXM1AJyjglS8u7NJartmDhJ+cVjA73HerbFXz17mK9/6fQuv/r7i5ZWtkHXO/rEcIEwyTANwZGySyYh71q4ltm5YEBK5XH1bKOzpBTMt2IqOYf/5IUT/LVnH6OcczAEXFtoEaYZOdskZxvMNUNODRf5/JPDGIaBbbBlEYZGsx+xDJhtRsqBskG6KICCY/BYxaUVprx+ZZ75uk+UZORsg768Tc2PmW34vHZxlp98NIshBDfmW6uO0wiSni2xW2nd7vjS64Eq7///23v34MjO88zv933n2ncAjcsAg8FwLhxyyOFQpGhRtBRZkUibXjlyrRPtOrXWqrKukjfZ1W4UK951VBWXKuXUxmaWqWg32VXiJC7LydqqXcUuq0yKlKxwbY8oiaRIkRwS5NwvAAbXvve5fvnjO93TwAADYIAZYGbOw5riDNB9+uvuc97zfu/7vM9TztkUMyavXahwZrZ+25dSVuKuyci3oo+wty/Dmdk60zUPP4yotgMkgiN7Cnzl0w/w3JsznJ3TtEPT0NlHrDSNyhRQ9yIODWe6k2DDBYcL8w1s08AxdKPUDxWhivmDE+f4R0/ey6sXtKN4rCAIY6rJAFNvXdwElFjO9U2RYjcgVmBLQTlno1BcXvJQKCxDkrEkfqh4bH8f0zUfx5S4dsD5hRYXFtscGcnz4Fgf1XbIlWqLNy/X6M9a/PShAVp+xKvnlwCtN95hq0z0Z1hqhol4naSZ9KmkFEwttah5oaYDS8npuQa2ZdzWpZSVuCvyva3qIxwZyfHahSWqrUDf2V0LIeBzT0xwdLTE08dGkFKStQ1ytoGf6J6UcxZ1P6TaDmh6IbO1NgBHRwvUvAhDgCFlVyFuOG/z2oUljo6WePL+YUZLGYYKDvePFvnI4QEKiXC+IaAvY3JgOKezf/Pa8edUmjzFTqBz3kkBYyWXkVKGdqAoZSxGii7Hx/vYN6DP28krDR3ELYNWENOXsci7JlIKpqse712p8dJ7cygV41oGhhTcM5jn0Yk+pmveshmQxw8OcmQkj2MZ1L2IjJ04dkWKSjdj1+bPc3WPX/3oPXzxqSN3RBCHuyQjv1GVsw4mZxr65Kl6XKlpRTZD6AbLwaF8l1t6aanFfN1jtJSh6YfMNnyEgHxyEr56folHJ/pwLZOcY2IIgR/FOKZkuOh0Vd0AfuWJ/V2qVGf6dKiQ4f49Ob752hRBFNOftZmpekghKWUkV2p+d81pkp5iJ9A571xTi2GVcxYnpyJcU3SNxzticucXWoz3a6qfF8ZIoem45xeajBRcml7UVT9cavq8ci7gg/v7mCjnsEyDZz7z8LLX/tpLTR4YLVJwTc7NNXjurWlQqjuNrRC4lkSpjV/7twvuikC+Vb/PS0stJso58q5JpaU74rYhWKj7y+Rvv/LpB7rB9+3LFSzTwAui7sntGIK3Llc5OJTnpw8N8M50nYJr4pgSL4yptUPu35Pn2RcmubTUImNpZ5SpSrhsG/ixI8PdMlHDj5irtfFChSnXHyhKkWKzMGBTYm8SGO1zydomc42AiYEs05U2CHAsgwfHijS8kOmqR7UdUnTNxKdWIZXCNQ3qfogUAteUSCGpeyGDeYf3rzQ4Ompcw/VeOahzYCjPfSN53p2pJ0bPkDEkQurSzk5ro2w37opAvlV9hM7zX79QYbHhEyntcj9ccLtCPZ0hgc7JNFPzGCk43Lu/D4D3rzSotHykkHz+YwcAeOb5SebqHtV2gGMaDOZtWkGs6/HVNguNAFMKvvDJQ3zq+DWCkgA8PF7ie+94GBLkdrgBpEixAhFgSIjj9Xd6EhjrcwnCmKmWpunuKboYEh4/UO7WtVtBzOc/dg/ffHWKhUbAUMFhsRGw0PCQUrDYDDGkoJy1aIVaoM42BHN1b80JztUGddrhZaqtkEgpHFOXP7O2uePaKNuNuyKQb1Yka7XnP/P8JGfnGpr7LQRtP+L8QpN6OyDrWNc0T7O20RUBGsy7DObdZTeT596cQUqdoWQsSYxgttpmsenT9ELCWOk/keLL33yLb752mQfHSt3Bh850Wq0dEgOjRYeLSzFeuN4MXYoUm8dYyeVKzVtmirIaYvRcBUJQbQW6WR81GS25XZOVtXaXzXbAX51ewI8UlqGnOluhnreIFSw2Q8p5Z8MOPp2J7DNzDfKOgUATDwZy9h3BVOnFXRHIt6qPcHS0xEhRO//4UYxlAEJgG9o4tpS1+dpLZ3jy6FA3yD48XuKHZxY5cWqBxw/245i6LPNT9/R1yy/37ylyfr7Bq+eXeGRfH9WWz5WqR60dUHAtDCloBzqbmK60yFoGX//+ObK2wWhfhsNDOYYKLiNFXTYa68viBTVamzSvSJFiPUxX2mzEkbAz8BYqsKSgP2eilGCm4rHU9PlffuWxZY/vzaKffWESy5S6HJLo+kexzsY/engQKeWGgvjJqQpfP3GO1y5UaAUhBlD3QhzL4PGDA3z2if13VH0c7pJADlvXR/AjxSeODvHaeV1ecS0JCtphzINjRWzT4PdPnOeB0WK3sfr4QV0Tf/1ClaceGOFv/9T4NY3X6apHzjGZrnmUMjanZxvEKtGoSMxqbUNyYbFFGGv95pavODdX561LS1iGltNthzEFx6QvY9Gu+WmzM8W2YiO9F0FirKw6z1EsNXVSYpuSH5xdXPO5J6cqfPvtaVBgGQIlBcWMSTuIEGi2yvUowx168VuXK5y6UsePEu64Y1L3IvaXs/zG0/fdcQG8g7smkG8VnTr5B/f38fxbM6BAStjXn2Wo4BIrxUy1zeMHrk6NDRVcPnbEYarS5otPHVl2spqGQCm4sNgkaxn4YcT9ewo95hOawhihNSj8ULNbHFOy1AooOCZeENNIiCqWhJYf0hQC1xK0gjSUp7i1UFwrjhXGsNQMyDsGUq1Oiu3Qg21DopRCCIEXxRzdU+DSUht/HfPPXjGsaiug1g6JYkV/Fu2fKwQLDf+OY6r04q7gkW8HOjrElpHYSxUcBnIOx8f1iVFrh4wU3TWdh3pP1iiOubDQ4uJSC0sKWkFMpRVyYbFF3jG0F6G6+qfpRwhgttbWOsixouHp7auALh/dsUxG8g45x6LgGBsWK0qR4mZCoWvT4/3ZVX/f2aUe21vsGojHccxfn1qg3g55eLx03dmP3l1u3YtQKGxTsNDUWY6TJEJ3GlOlF2lGfh2snAZ98ugQkzMNSlmLaivkyEiect7pjvp+7okJXjyp/UhXNlV7T9bn3pzBkAJDQhgpYqXoc3QjaE/J5fxCgzjWavxhpKVygyim1tI3iZxtUPOuEsIsQxDGMa1A0Q5CRvsyfORQmdcvVri4qDVhUqTYKjruPqBt2qQUBJHaUBlPAfv7M8tkaDvX1dtTFe7fU2ShEWFJwaWlFvV2gG3qmvZQ4Sp1eLWsupdenHdN5usi0TbXq/XCGNuU285U2cq0+HYjzcjXwGrToC+enOXpYyP8b3/3p3j2lx/mwFB+2XTZp47vXdN5qKPXMph3KWY0dzyKFVIKPnKozHDRJYhiMrbJeH+O/pxNMWPRl7VwLIllSEKlyDum1pOARB4X7ayCHvWPFahYUfciHh4vYRlpWp5imyB0ALelwDAkliFwTUHG0tzs651ppoDhUoZnnp/kd557d9l1dWG+xU8uLvHKuSWkFBwczGGbBpaxPDytNfvR68F7eChH1jZp+TESaPsh9Xa47UyVrU6LbzfSjHwNrGxK+mHE6dk6v/7Hb/DUAyM8fWxkVcW0tZqqvVz24YJLO9AZtWMZHNlTpNIKODycpxXEvHFxiYmBDH6kkmm4kKG8w1zdJ+eYXFhsYpsCL1REMYkqv6Lp69zo4mKLpVbATx8qM5C1mK56oDY31JEixUq4piTnmthSZ7yVZqB1ftT1CeZS6CD88pl55usefRmb4+N6vqKUsTgykuel9+YwpUChJzGlEBQcg/dnG92MfK3Zj156cTnv8NDeEj+5VEEI8GN1U5gqW50W326kgXwNdLZrs7U2b1yscGGxiWtKMpbRvftulM8KV7nor9U9qi2fubqu35VzNt979wqDeYcPHejjT1+f5uJik0uLgvH+DB86MMCp2QaVVsBQ0eWJg2Vma21+eHaBy0tt/DACIbrlE0PoUku9HfLymUVGCjZBGLPY0g2gFCk2g4Kjp5NDBf05G5X0ZQbzNnlHy8d6iRGnbehyYbOn0a5ZV4LhokshkW2eqba7XpwAOdegHYQUMxax0nvNjKXz+4W6v66V22pTnf/5f3jopgbUrU6LbzfSQL4KTk5VOL/Q5Pun5mkFEUopHEOLW9W8CD+Mlk10bhRdh26hT9LesDq11OT//KsKfVmbQ4M5Li61ma60WWx47Ck6XF5qcWQ4T6wUtmkw3p/l3uE8Pzi7SLUVdI9lSKGzJAGLDZ92EPKB8T7enKpRaQXb8vmkuHtQ83Td+qGxAn6sWKj7FLIWrm3i2iYZ26TlR1yp6eliIQRjfRauZTBVadFIqH99ieetFIJWGPHtt2c4OJTn8FCOty/XKGVs9pRcXEsLw7UD7bTVl7M3ZPpwq+3Xtjotvt1IA/kKdGpfo0WHU1dqRDE0/VBPhgnJYN7m/dkGjx8Y2NTdt+PYfXy8j++fnqfo6hPAsQwOD+X4kx9fIogUhhRkLAPHFFRaEd97b55f+sAY//Tn72NypsGlpRa2obeeliFxDcFcj45tp+tvG4IIhRfEvHphCcuQGMkEf5qXp9goBFpps+5FRHGMH8XM1jxsU5K1OzpBEaN9Lo8fKC8LbGfn6vzFu7O4pqYVVlqBFsdCG694fsjLpxeo+yEf2Ffi3IK+nhxTglK0w5ivfPqBXUkZ3Oq0+HYjDeQr0Fv7+smlCu0goh3oevTBIZeMZVBvh5u++/ZuxaptzQMHmKu1qbaCpGGpaAcRszWPjGVgSa0Y98q5JX76cJmnj43w3JszfPvtaeJIUW0HLDSDZWwC0BdflLAJQgVhEOMFcVfLXLJc19xOapNrDX2Y13FAT3H7YzUTb1PoWYcgUvTlbLK2yWzdS+izioWGT9Y2teWhqYWwKq2AxYaWl51v+FiG5KGxInU/ou5F1L2QsT4XKQQLDY9LlTZRrBIDcoNHJ/p4f7ZBvR1iGYKPHi7vyiAOW58W326kgXwFegPuYMHFC7Q2w/mFFlIIvCDCMsSm7769W7Gia3Wbne0wpuBaWIZmnPhhjBDQ8LVokGtJEPC7z73LoeEC+wayoGCx6VNth4lWs6SVBGrQF+TKxma84u9GYkghgKxjaLusxXb3MR0ndFRqXHE3YKUVW4xmQ8UKpiptRgq21gCKFEGsaAe6v1P3Ig4M5vjsE/t5afIKX3vpLK0gQgpNk/WCiHJee93+5fstml5EpBR5x2Co4GIbgulqm9cuaJmKxw8MdLPbzz6xf4c+jY3hVpdzroc0kK9Ab8A9PJTrupFMJLrJi62Qjx4ud7vgG+WS9m7FDg5lefn0ovbvTMxmi65Jta31l+NYESnd7R8pOBRdk+lKm7m6x7G9JQoZi+mqDrqx0nVJx5QEUdwNukYipB+r1QURFfr4GVNPmNbbEbYUhErXXixTYApBI9XFva3RCdDXE8bs3Z110JF+dQy9Kzy/0CZjawtDrxXQjODUbJ3hostI0eH0bJ1vvjrVNT8R6BsBAqaWWszVPOLkvBIRNP1Y+92iNYL2FB2mqt4NOffsJj73TiHlka9AZ4Kz0goo5x2ODOdBwWh/ho/fN8y//uyj/Pe/dJyjoyW+9cYlvvhHr/Nnb1zm/HyDs3P1Nbmkna1YKWMRRPDEwQEePzhAxjERQvCJoyN87N5BzS9HC+zv68/oXUEYYxoCL9R59uGhHFKIrhZLGOsySiljUnJNLEMwlLcI47UvXt3AKmJZJu1Q7zJc28CUAtMAP1RpEL8D0Jk36D0PBLp0spqjlEAHff080S2lxEpTYRWCrG2SsSSWYfD4gQFs0+Cr3z1Fww/xI62L35l98AJtU9gKYvqyFu0gpuGHtPyQM3ONhHabI+vokuVmsdv43DuFNCNfgY1SmU5OVfjqd06B0FtML4x5d6bOfSP5Ndksq23FOieiZRgcHilgm5K/eGeWgZxFOe90HVXKORvH1NnOUMHl8QP9vDQ5RyQEOdsgiCJqba3wNpC1Vq2d9yKIFe/M1Dk0mKUVWrimwVzdIwgjvChtiN4pWO377/ROBEkml0hCGGgP2Jxt4JiShq/PvaxlEMV6t+dakkCAgySIFafnmjxxsKx3g7GiFURkLJ0fGlJQ94LEP1PhhRFtPyKIFZbUDU+BZld1TFZ6g/FG6L27jc+9U0gD+SrYSO3ruTdnCGPFQM7quneDridaScDd6Gt9/mMH+PqJc3zn5AIKxUN7i1yutLm81OqaOBtSn6SVVkDBNRkuZnj8YBnbELwzU2OhoTg4lOWRiT5eObfIXN0n7xrU29HqF7PSo8uTV+pkLAMzESwyDUkrTEeH7gZ0SyrJXVsJEApaQayNHExJOWczXs7xzlSVfsdkvD/Lqdm6LstZV7Pocs7mctBGCm0kbnet3bSFW8cv0zA6NxdBKWNScE1+dG6RgmPx4Fixa1AOGwvGu43PvVNIA/kN4tJSi4GchRfG3SDumJL5hs8ThwY3fbxmEPOhAwNdKpMXxczXfWTiRD5acqknHPau9dvPafPYZ1+YXMZpjeIFTAkNL0Imzi4rkVDNiWK0HV2ydTbTYttdi075pWgJ2qHW+an7ERlTgNLlEqVU15atlDHIuzqEjJZcqq2QQ0NZ3rxco+6FaAVPfdAojomSUg1GTBCqRJZCn3efuL9/mabKRoPxbuNz7xTSQH6D2NuXwQ8iJq/UaQcRtXZA3YuwDMmRkdymjrXa9jCIFMWMxcfvG+4+rnPCrpQG6M1KtEJiiGuZtIIIQwqUildlnih0Q0tKzQmOCWn78TUMhhR3DyTQChQZWyY1cUUrVPyDTxy8xpYtjuHgYJZKK0BKyRc+eYjJmQaWaTCdUBD9UOFaAikk1XaAH8WYUpB3TY6Pl3jzUhXLkJycqmFIwWD++uP4K3GjfO47rUGa5l83iKePjWAYkj0Fm7m6R8PXQfzYWIEXT85uqtnSEdTqhR/G3eZmBxsRDXp/VtvRtRPltw6TZS1BozDWzdKaFzJadBBi40E8leO6vbARWWO9S1MEkWK8z2W8L8vEQJZf+5l7efaXH+ZTx0e5f7TEx+8b4vGDA4Qxy0Tjnj42woNjJRp+SBTHWIaWaQYourqxb0jJYN7iRCJT+8GJPurtkBOnFrhSa3XJBhsRueolEawUqlsLd2KDNM3IbxCdE+i3/vRt+rMOA3m7a71WaQXL6nsnpyr8wYlzvHZhCYHgkX0lfqVHxGdvX4Yzs3VOzzWu0gqjmHLBWfaaGxENulJpUUuohK5tdMfyO9l3uEqZJYw102C+GSLF+rzxTsaeZu23F3qZK7YEf5VzIUJ/v5YU1L2YPe5V+deVvaPerPa5N2c4PVvnxZOzxLEuC5pSIITAlIKGH+KYEtsQDOZtohiKGZMHx4oMFVzKeYe3Lld5+fQCgwWXomvy3Jsz3dddia1k1HdigzQN5BvAWifN0dESEwNZHj8wgBRX053ezPnkVIXfee5d3pup40cRfhhzeanFe1fqfOUXH+ToqDZU/jc/PE/Li3AtrZXSCmPm6x5nZutd5/HrbRmzluQHZxaYqXmYQgfxIIrRJLJkyvM6bMIwVgRhhLwe4ThBp76eBvLdhQ51cDUZBol2tFLJgJdCYEq16jmh0BorXhizbyDDXK3Nl77x+rJzv9eVp5PVfvW7pzgynGcmmUwGhWVIIiUwhMSPYu4dKfCVTz/A7/3lWUZLbve6GSq4PDCm+Kv3F3hgtEjBNddkr6z22psRsbsTG6RpaWUdrLcN6y1rdNCbOT/35gyXFlvUvRCRcHANKZicqfP1E+cAmJxp0OdaZGyDGM2AmRjQFnLTNe+6W8YufdE0+OTRYUoZi2YQEUQxYaRtszaCKAbLkFhSXrfhudo4d4qbDzP54JfxvXt+LwU45nIxNtHzxzYF+r+OEYkO4glTUHPL5dVjKvRAjxQCyzSuOfd7s9oO0ySIYqarbS4uNKi2A2brPvMNj5YXsqfoUHCtrnbKatfN25dr9GeXH7MjTteL1V57tcethfWu2dsRaSBfB+udNL0DRHEiDNRb37u01GKh6WMbAtPQQzyOqdVOXrtQ6T5GSNhfznJoKM94f7b7ehMDWZ75zMN88akjq2YbK9dnSJF4gMa0gogw0qP71jrftGtJhBDs7c/gWkY3cKxEJzCkJ872YrXhHNAB2jUFlimxpJ7YNSUUMxamIbrDO0pBO1TLymKdnZNA/y6IFaHSAdpIzsPOjdsxBaaU3dfv7LguL7UIouiac3+1vk45Z3NuvsFs3SeMYoTSu8BGoJiptZdpp6x23Sw2A46OFpYdc7VMebXX3kxGvd41ezsivR7XwXonzXrNlr19GaIV3cYoVtimpGOStbcvg2MaLDZ9Li42OTVb59x8k4YXcn6hyZe+8TrPvjC5ajNm5fosQyANCOM4uWHoYKAUZK3Vo3Nn8i9Sikcm+jgwmCNrr82FT+vjNxciCdadG6ZlSFzLSL4jcC2D4YKt5wuEwLhOgzpm9aGgUIEhdHDXolWSMI67j+18x1OVNi+8NcNcvc1cvc3blyv8vz++xPmFJufnG8uOOVpyqbZDTCmI4qt6PwKYrwd85HC5+9jVrpuPHi7jWsuvtdUy5a1m1DfSIN3tSGvk62AjPNW1Jjb/4MQ5Tpyep+YFCE9QcE1MKfAjbdn2yD7tkvL0sRFOnJrj1Gwbx9Rys3UvYqkVc3Aw293W/s5z7zJWcvEi1a1XrlzfSDHDYiPQZRLDoB3GidmExDUl7TBcVgKX6AstY0meOKgvpIf2lri81MaJNN+3V4yr90JfC2n9fPNYpjwoIVaCgYxBO1I4pkErCCGpfSulpyENAb5SNyxqFkSay61ixVI7ZKVZvUTf4JdaAX/9/jwKfRMZKTjsKThXdYjKuocjpSTnmFRb/jVqnLFS/PX783zq+N7uz1drnm6ESrgdErK7SfBqO5Bm5OvgRrZhnQbny6cXKDomo0WXOFZdHu1I0eHekXxX3e3oaIl7h/PsLWUQQhAjyNoGY30ZZhsBL59Z4KXJK7x2fokfnF1YVq88MpJbtr49RYcgVoyVXI6M5OlzTaSU2KZEGpInDgxQcAzsxG8x5xhMlLP89t88xj968l4qLW16W8yY3cBhJyWhtWAI/ae3vroaBDCUtyk4Rjp4dB1EMWRNQSuKieOYWjug4ccoAYM5C9cSVNshQay6IlU3+jqDeYfP/NQEv/ufPIQhr+qs2IYutwihd5ANL+xOcR4eznNgKM8j+/qYqi7v4ewpugTRVacqK7GFU8Cf/WRqzZ0lbDxTvhMz6q1iSxm5EOJ3gf8I8IFTwH+mlFrajoXtFtyI7vBzb86w0PDJu9ooecw2cW2DaiuknHe6np+9x/Aixc8e29Pt4n/77WmEUlxcbHFPOUsriDAlzNQ85useAKdn6/zL6Rr3lDP8cEZP040UXR4dL1HzI2peyFh/loanNViKrsm9e4p4kdYnn2/4IGC44DA50+DgUL77Xl3LIOuYjGetLoPGW0OU3JBgm0biWq7wV0z424bAlLpOG0ZKX9yWQRAp/DBOs/cEnaakJQWmadBoBuRdE8uUmL4OontKGRabPqaUuv7sXV9o6nq7oxi4Um1zZCTHp47v5ZnnJ1lsBrSDiI7vsYy12YkXxVhS8uhEX3cCc/9gDtsyeOYzD3ePOdGf4a3LVZQCpRSJmCYGYEm5LsNko5nynZZRbxVbLa28APymUioUQvwPwG8C/2Try9pd2OxJc2mphR/Gy2rX/Vld03xgrLiqafPKEknRtXj/Sh3H1CyWIFJIKchIwesXK0SxwjEETT/gnekIgVZUdC3to2hZBvvLOQquyRsXFnnzco1qK6DhR+Rsg4NDOfwoRghBpRVyZrbO115q8vmPHeCLTx3R5tJ/9DqgDW1ztsGpKw09MLJi7WEEe4o2U5XWmjz1jjtRpRUghNaPAZ31KaVvZCm0FVrGNmn6EZYlyDkmpayFF5hcqbY5M9cgjGMMoV2ivKR0ttrHZ0mtotm6jitI3jV58eQsB4fyHN1T4N+/P0cQxQSRzqgzlsE95ZympcKyMfrV6tJZ12JvyeZy1dc0SKUZN1IKRkruHcHZ3o3Y0gZXKfVtpVQnJfg+sDM+R7sMe/sy2KYece6g46SyVkNmZQlnT9GhFUSUXCvRt9BiREMFh5mqrqUjdL294JrkXZPTc01KGYt9A1nGkovm5FSVmZrPRw+X+Y8/OI4pBXN1n9OzDVzLoJSxcCzJdM1bxsY5OlriC584BAoWGgH9WRvLWENNT2gWRTlvd7fmvYgVtJKzREr97yBSCEHSxFs70FzvBDUTpb47CZbUwTyMY/K2llkouhY5x0QgiGJNCQyimLof6b7FGpO7AzmHvGut+hkKIG/rPkopY/EHJ84l+ikWRddECm10kndMDg7lGMw7DOTsdUuMe/syPLq/zER/hqG8o3cYpm7WPjyuA/ftztnejdjOSuXfA/58rV8KIT4vhPiREOJHs7Oz2/iyuw9PHxthIGdTb4e0E+3lWjtkMO+sWVtfWfe7ZzDPx48MknVMal7IUMGhP2t1M96OyJVrSpzkT6eGWXBNvEjxxaeO8OBYiSPDeaaqHt85eYVLSy0MAVOdmwF0n7vyAvvU8b3dsexixsIypN4mJzXxDgqOoTVdEGQsmXCWV9Do0PVxQ8qu6UWYlFbCeO1x/4Jr4KxxloYKGivrONsEY60F3QTYUjBecii5Ju0key66+ruWQnB4OKcpqaw7AAAf0UlEQVTd66WgmDEZyJjLdj6dGnTOgqJjJJxwrZjphTEZW+qBoOQm2/n8C67JUsvn5dPzfOsnU1xcaGKbkoxjMlSw6c/aZGyDewbzfOnnjvAbT9+3bl26I11xfLyP/eWsnpsQguGCw48vVDhxep5zc43bmrO9G7FuaUUI8SKwZ5VffVkp9SfJY74MhMAfrnUcpdTXgK8BPPbYY3f0PvroaInfePq+ZWP5TxwcWDaWv9bz1ppgK7gm5+cbvDujdZuFEBwczPDjixXeu1LHNgTDxWsFh966XOHiQgvHkuQdg/m6YLbuo1Bd5UYvjMkn3f+VF1hnTc++MMm5+QZn5jTlTKmrWtYCQaXla93qSJEVmsrY9DWPPYi1cl4YK4Io7maQHQcjhT5WhwKnki15DNQSGd7eWu+tYMWsM9y6beuQAkpZk/68g2EEFJSeVrxcaeGFIR8YKzKQ07uzgaxF3rWYnKkuG8zq/L0VgiljMpYgZ2vD5CCKGS44xEpxeand3VFlLUnDjxkpWoSRdqyfrrbZN5Ch4GpVz0cmSgQRy0qBvbITz705w+/95dlrpp07fRbbMhjM2bxyYQnTkORsSbUVMLXU4uduY872bsS6gVwp9eT1fi+E+BzwC8AnlbrOHvkuQuck9yPFzz6w54aV1VY2Wu8ZzPP3P34IgGeen+Sd6To5y6DpRbSCmGor4OxcHSlll4pVbYeQlDAAhgoO5xeamFJ0TStQsH8ge10K16WlFqaUlDIm7UA7xUihA9FQwWUgbzNadHj9YoVKM8A2NfOm0oyxpJYvzViSevtq8BYCsra+kXQCTH/WpulrFUbLEIyVXC4stuicWRtQELguXFOT6jvuSZ3X7Q3KRceg6kVrBmpT6pKDH8YEiYfljaLgmImUcEwUQylrMVHO8cShQY6M5Pjr9+f5zskrVFoB/VmLff0Z3p2uaSmHWOn+gxTIpMmctU1++tAA/TmbV84t0fZDal7EUMFhvF+H/Nm6HlAr57Wp8sVFPYsgECw2A8b7s4CetOxV3+xgvRH53oTk2RcmsUzJdNWj2tY9oPtG8kzONPjUDX9qKVZiq6yVp9HNzZ9RSjW3Z0m3N7aqA7ESazVaR4qOdvSJFOP9GRQ6GExVve4YNGj7t0rTpx1EmqMuBf1ZCykFE+UslVZI0TU5MJTv3nC+9cYlfv/EeWaqbUaKLp97YoK9fRnem6lRzrnMN7QgkkIRx3obX8qYTJRz5F2T1y9UuuJfhiEp5ywaXkSltZzDnncSWQKlqLRCwlgzaTpMh7xldF1kOgH3RmKmbej3bAjBUNHl1Gwd31tuuNE5rCUFtmUg/ah70+gE9M5rFxyTct7h/EIDQ0ocU1BfTYHqOujoouhGdqyne4G+rMWvfvSerp7Jiydn+dCBAbww5OXTi5w4vYAhdXNTSkHRMfHDiCACxxL8/EMjDBf0ruqD+/t4b6ZOe6FJMWOxbyDDA4m2zzPPT7LQDFhsaZXCgaxFpR3R9LU2PUqx2ApXLQVuRnTq0lKLiXKOewbz3Z/FSqU18m3GVlkr/wJwgBcSTY/vK6X+/pZXdRvjVimr+ZHiY0eGlol1xUoxVWkve50HRktkLaObERVdiw/s6+Oewfyq7JlvvXGJf/bn75JzTIbzNlcqLf7rb7xB3jVpehFCCPqyJl7iIjNUcLo61JVWwGDe5ZNHdYmn0gr4/yavEMeKWEWonvxWCi1rGsYdL0i6AymdANrywySwbO2zCiJFpeUTx7DQDFBotceO3Rkk/xeQcwwG8w6uIZip+XrXgSKIr/KrhRDMVNoopZuSrmXSl5HJDkddt9zSoRj6oXaon6t7RErXrfeXM7SDuHvj7z2XZmsROcfg4mKY0PoUGVd7Z+obTczH7x3EMa9e0oN5F8sweOLQ4LLv+uRUBccyGEooqWfnGyy0QgqOnh7Vuvpi2Uh9LzYjOpUaP9wabCmQK6UOb9dC7hTcKmW1jV4gegquydFEUa4zBbdW0/X3T5zXlLeMRcMLWWgG3UCYtUyq7ZB2EDFcsPnFD4x16/4Hpyo88/wkr9U9vDDCMXVAfOJgmVfOLpK1YyIlydskGjARlyqtxDyarr9oRzdE0ZFZ3Xq1TgFJhQlHKiTgJzV+ozOwkvCevSDi/HxDD0KZgjhWBJH++9E9BSIFFxZatMOYjCUZyNkIKbi81O5amnUGqVbCTIZk2j3BvkMbNKVgoRGyb2C5nokp4YdnFzg339DsHqWF0PpzFrFSNPwIQ+gSVKAU3z81z5GR/KqKmZ2S37ffnkbFCi/SMg5DBYcL81r++OcfGsExtfJgZ2BtJTYTnLdjCjPF+khH9LcZtyoDWe8C6ZXezViSoNcirmegaaVE7/n5Bvv69VoXmz5RHCOlIgjBzhiU85I4hoJrX9O87dAIvTBmsREwXW3jGH1U2gF7ig5O0li9vNhg3tOB27EksYq7WffN1HHRAV11M36tFihwDIEXRlojRCnihOK3dyCDISVn55vYUjeJP37fEBnbxPND/FhxoJzl5TOLKKUQUjBSsJiq+l3ZWDMZW294Pn6oA7dItG964UUK5YU0vavsIdsQvHx6gcWmjx9q56YgubktNQMmBjI8OFbi5TMLCAEXFprECn5yqUIziHhwrNT9rntLfh3bNj8xTI4V7BvI0Ap0iWa4YF136G0zwflGBupSbB5pIN9m3KoM5HoXyMo6fWcNG9F1DiLFbM1jpJTRTUilB36kBNMQKCXw4ogwVsvKRc+9OcP+co7Rksur55coJvz3S5U2rilpBZq9IgT4segq9/nR6jZ0K9GRX5WJQFTU0zGNkxR+ozeBTiCPYjg6midrmyw0PGbrPn4YJR6niguLraRJrGgGMV4t5rk3Z7qZeNG1mG8EjPdnCCOHi0tthosZGl5E3dOKgXlHUs7b1L2QgiuxTEmj7dMOr12rkDDb8Dk31+DAUJ65WhsFNH3deA1jzb23DE3vPLfQArRwVtY2cZLZhbCtGCk4y8opvWWaQsbCCyKKGQvXMvjwwfKaNoKrYbPBOZ3CvPlIA/k241ZmIGtdIBut06/2uIf2Fnn1/BKubWIbgprSQa8vmVKNErW8gZy1rFzUKSm9fKaKkwyAKKUt5O4pZ/nJ5VqXkRKEkaYexnqEe63JRLgqqXo18OuJ1phOjVuRsyR+rIhiRRRfy2xZeWilrgo5nZ1rYJuSIIp1rT4psRhSEEaKtooIIqXLPkqbb9STsfifGS/x6vklCo7+bMb7MziWQbngEKk2Y32ZZJQ+RqCIlCL0Q4JYyxr09gQ6rQ6p4K9OzdMMIi4vtblvJMdUpXVVG9zQpaCCaxKEiqVWwFjJ7bKSOp97RyJ55fcDcHgox6vnl3AMTRvtDPf0Jhu9OzU7uXH0irVdLzjfaX6YtwPSQH4TsNMZyEbr9Ks97qHxPtpJJr7U9HFMrVdtSEEQxviRoj9rsafoYhuCZ1+Y5O2pCm9driKBdhizp+gARjI+Lpiu+mRtyUDO4nKl2Q2Y63leGMkovxRJyUPpaUQpDaxEyMlI1CSlgJxj6gw2iDWTpB2tOonauWlkDH0zqbV0mcROhmgi9A2jIx3QGaYxkwEbKcBM1CULju4bAF0dkkorwA8jhgqu5vEvtpgYyKGUYr7h0/Ljrn+mEPomFSc+mVEUknVMBvM2szWPd2ca7C25nF9sYRq6JiOTid69fS4XE7ZLL3SZfvntq7fkN1RweXSiT39nQlLKWNeU2zo7NVPCy6cXUMDjB/vXZWGttstbTbUzDezbizSQ72LcaGaz0Tr9Wo97/EC5u8U+OVXhf37xPf7q1DyGhPF+l4ODeWpeSMOPtGb6fBPHkMzXfYSAi4stRoq6KWcZepxwrC/L4eEcp2YbGCKikdD7InW1Xpy3BK1AIQ1BJikTRLGiXNCliXYQ0w5jXEviWJK6p7PqjqlGrDTDxEpkABBgdcooyWt0BpFylkRKqcsWQv/SjxUWojug1JkZlRLyjkHOsfCCGNuUHB7O691M1qLaCjkykqecd7rZbSfQPfvCJOP9WYIo4pVzS5TzNmEcU/f00bVRhCBQkLcNLEMbPPz4QoUD5SyTbT0X4Joy0aMR5BK2yaGhPAihjyVEt7RS9yIePziw7LteWfKzTaMrkrbynOrdqb09VSWf7MZOzzb58MFy9zEb2Q36YcT5+SYLDZ+PHRnaMh03xepIxUR3Kbbi9N2r2zJTbfG9d6/w3XeuMFdrL3v+RiR6j46W+F8/+xh/9Gsf5u8+cQ/3j5Y4MJRnrOSybyDLdNXTRgdFlz0lF8vUgyqLTZ8D5QwXF1tcWtQmGa9fqFDO2YlWukiCltA874yJYRqU8zYT/Rlsy8A2JQXXSoyjJfcO53Atk5YfatEwUxDH+uYTRDHlnK0NEwzJoaE8Tz84wiP7B5gYyFLOWViGYCBnk3e0smMriABdjumowWqBLy3vC1f53pZhEEaKOCm7PDhW4otPHeG/euoIH9zfx/uzDV48OYMfRsuCVMf4YzDvcnAwy0IjQApBwTGYGMhgmQa2IbmnnE2ExARDBQfHlMw3A37qQD+GIXhgb4m8YzKUdzg8nOf4eB+GIfkvPn6QibIe4OmYLUyUs9cwTjYj/dprVlJvh10JiGpbG3lfj4W10ujk/dkGecfAj+IbsmVLsTGkGfkuxVb46J2L9g9OnOOvTy3Qn7X4yOEBLNO4ZgJvo/X8leWiL33jdQbyJtV20K0R92UtTENyfLzIy2cWeGuqjm1IBvNa+fH9K3WyiSm0TNT7+rMGGcvg+Hgfr11Y4tGJvq5RQaUVJNotBm9PVfECPawipcCPYjK2SaRChOhoihg8sq8P0xDcv6eIFIJ7k/XGSvFvX7nIeH+G03MNQDu8GzLxppSSrIQojglihQo0Na+UNVhqRt2dSylj4ZgGTx8b6d5s4zjW8gcNn1fPL/GRHv61bQhempwliBRLLZ+BnEXWNrtNxrNz9WS3I8naBlnb0CUipai3Q1zL5Gcf2MMXnzqy5g7t4FD+mnp27+h857zpPK8zcLQWendqedfEC/Tuoejqc/B6LKyVu7x6O9TWdO7VXV8qmrX9SAP5LsVW+ehHR0sMFVw+cf/wstIJLL8Z3Gg9v3PBFl2LdhAt02xxLZNcYjJdaSkWGkEyzh5TbcfkHYs9OYsgUklmbnBgKM/PHRthcqax7Kbye395lnLe7DboQGfIfhhjG5Jy1mKpHSaBL6DhhczWPd64UOGD+/u4d6QI6OAzPpDlgdEi947keeXcEpVWoGVWpSSKFa6lHd9RiqxlUMpaLDY1dbLlRwSxwrEMvvCJQ92ySRzHvDtTxzEl5ZxNtR3y1e+c4uCQnmScqXrU2iF5x6DlRTS9iL5MzLF7BwHtrvPelQYfOjDQLb8sNDyqrQA/0rzwL3zy0HW/q87Pe+vTA3nNBX/m+UlipbqMoo2UNnrLMAcHs/zwzCIKeGCssGpjdK3nFlwTyxDU2iEPjV99rXQgaPuRBvJdiu3go3duBnP1Nu9faXSz51LWWv/J66Bzwe4pOrwzXVum2XJuvsF8w2cobzNccLEMn4uLLSxDs0MGchb9WR30UPA//q3j3aBysCfrfO7NGc2caYfdBl2tHbDU9DFMQcY2aAcxIwUHKbTphkQwmLeYqwe89N6clgQuaR2Zzz0xwYsnZ4mimDCK8LsCXgrXErT8iFiBZWoOed7R2Xfd14YgCPjnf+vhZWWTqUq7y9IBPa260Ai6pYN9A1n2lBxev1ChHUaJX6vo9gVq7ZBH9pW63/U95QzfP7NIGMbsL2c5PJy/qhe+zg13tV3ca4kJyfHxvu7POo+9Hl2ws1OreyGPHxzoslZ6OeZr7RB6d3kPjhWZqXpYhpZiSAeCbg7SQL5LsR189L19Gc7O1bsZY4dhUW2FnJyqbKnZ1HvBNoNomWbLXK3NQsMH9Dj7QM5hru5jScFIMUfWMRO5AH1TWY0t0ckeZ6peN6Ms5x0e29/P90/PU8rYLDT8ZLReUPdCXFPL6bYjxUQ5y3SlzY/OLfF3Hi8tKxk98/wkszWPnC1peHr2Pgh1ycYxdGO24yjfKRd96MAApYy17DPb25fhtfOLlHN292deqG9Ub09VuLTYJlYxppQ0vJCJgSyztTZeGPPquSWOjOQxDMnnP3YA0MH15TMt9g9kOba3yGD+qtTBRkpqq+3ivDBCrOC1bGRnt95ObSPCWb2PTQeCbi7SQL5LsR18dO3yMw3QZTQAHBnJb4v2y1oX+5e+8TpHRwv8OOEyO6bENgQNL+L4vtKyANW741i1LzCQJQgjShnNW885JvvLObwwJqjFOIbWGmkGEQVHy/v6YUzOMTkwmOVK3V825DI50+hqq1+uaEpfrBQSgZ2Mq2eSMhEASpd/1jIBfv6taaptfRPzQs1F78+YXJjX0sEorfznhTH7BjIMFVzqXkgQx0zXlgucHR0tdYNxr4bORktqq+3iHPNa443tKG1spoez03TcuwFpIN/F2OoFcHS0xHh/hmoroO5F5F2TB8eKlPPOTW02dQLKoxOazVFvhxQzFhnbvO4We62+wFQl7AbjZ1+YxDa1q82J0/PdRtxsogSp/UN1Nl3zIkaKy493aalFpeVTa0eEkcI2tERApDSTxDEMmkHEhw708/blGjM1j3Leoe5dLZf0Bt4vfOIQX/3OKRYaAQM5i/0DWSav1Dkykifvmrx6fgk/irEM7Y/Zn3P4mSNDlPPONQJnnc/uzGyd6ZpHvR2Sd032FBwODOVZD6vt4gbzTpeRVHBNzs01mJyps6+c4dkXJm+Y032rNIVSbAxpIL/D8eBY6ZosrdIKNp2RbYbT3gkopYzF4wcGukH7yaND1zQzV5Yq1usLrDWhWHAMal6ERDA+oLf6DS/UdnU92NuX4aXEVUhLDujyj9ZGkRwZyTNd8wgiODZWZCBnd71Pe8sHcJUJ8uj+vmWTj80gYv9gDikEj0708b3JWVp+hFIxphS8dmEJ25AcGyte89kdGcnx7169SM4xKTjGpowYVt3F/dyR7lo7w0n37ckzUc5tidOdqhruLqSB/A7HdtTaN6uxfr2y0PXMBDay1rUmFPtzLo/sy3B+sUXNCxkpunzhE4f41PG93ffQCWZNP0IorVnSDLRMrmtqOqRhyG65Q5siGNeUD75+4hzNIF5Ty+bZFyaXrfHjR4Z4aXKOuhfiBRGVdkDLj6g0fb71xqXuGkGXfh6d6LthI4brMVs6w0nbIbGcqhruLqSB/A7CRlgEK8W1NpJlb6YeuvKY63GWe7GRvsBmJhR719S5EQ0VbGwpqHohRiyxDT0lmrEMRvsy1wzzrFY++M7JhW7zc7XPY7U1mlKbfFype7imwcRAlkjBV797ahkj5WYaMWxnOSRVNdxdSAP5HYLNsAg28vhebDQAbIc70np9gRsJIJ0bURBFvHa+QrngEKOnSst5m/v3FJBSXrPOtcoHCrVsenHl57HaGg+PFKi2Avqydpeq2NFe6b0h3sySxXYfO21i7h6kgfwOwWYnQdd6/NdPnGOw4C7L0jcaAG6VO9JmA0jnRvSDrjKjhW1IZmoeUazHyD8wXrrGSHit8sEj+/qotcPEuafN+7MNFuo+A3m7S+tcucZnX5jkW29MMZC7+hl6oZYV6L0h3sySxU6XQ1JVxJuHVGvlDsFKjQvYnCYGgBeG/Pv356/RdzkykltXk+VG1rBdODlV4dkXJvnSN17n2Rcmr9Gj2duXodYOqbYDnITRYhqSg0N5HrtHB2XLNK7RtFlLn+SzT+yn0go4M1vn1XNLVFsBhoTRorOmHs7Tx0YwpaCaTKF2jK9HS+6yG+Jqr/nk0SGee3Nmzfe3UWxGb2W9z3Sz2Ip2UIr1IXbC+P6xxx5TP/rRj275697J6G2wdXB2rs5U1WNiIHtNBrTa47/37hWAZc7pncc8fWxk3WxqtWNuxrDgRtBbzunNMnsDVOcxp2fr2slHCLww7jZK13rP11vzyakKv/WnbzNf9xjMOxwezjGYd6/73G+9cYmvfvdUV+BrtOSuWtLZ7PvbbtyM19yJc+NOhBDiFaXUYyt/nmbkdwhWKhmenavz6vkl9hScVTOg1ZQPF5sBR0cLy47byaiPjmq1v2c+8zBffOrIqhf0RtQUtxu95Zy11PU6meixsSJLLa0Q+IF9JWzTYLEZ8MDY6u/5ejg6WmJiIMvfeGiUDx8sd4ecrvfcTx3fy7N/+2F+4fhYt6G5XnBc+f78MOL0bJ1f/+M3tiVT3shrbodi4U7t1u4WpDXyOwQrG2xTVY9H9vV1B0lW1quPjpZ48ugQv3/iPDPVNiNFlwdHC7jW8lNiM82wnWAybLQRe3S0xG//0vFlddpSxuI/OFzGWjH9uNH3fCPNw83U909OVfj229OgoJCxKGctzsw3ieKYhYbPn71xmeffml5Gs9wO3Ixhn5R3fnORBvI7CL1B4kvfeP26F+PJqQovnpzlgdFid2jnwkKTc/ON7gDMjTTD1gpUN6vRtdkAsXJ9a5U7NvKeb2bzsFPesA2JUgoviPjB2To526DWDrFXUVvcrhvmzQi6O91ovdORllbuUHQafL3ovRhX2z7vG8gyVnI31AzbDG5mo2sr5ZzOzezIcJ5yzmahEfDudJ0njw5t6D1vpnm4WXS+n2N7i/iJvVEcK+bqHgoYLjoIISi6ZtcIu/d9baVReTNKZDfzs0qRZuR3LNbLgDaia7JduJm0xK2Uc3rX1SlBVVrBhqcoO69/M4LRVfEsSzsQXWkgpXYwOtjvkrX1pdtRW+zdaW0Hl/9mlMhS3vnNQxrI71CsdzHeyprlzRZYutEAsZuFn3q/n8G8y2DeZU/R4S/fnyeM9TBRR21xf8JKgu27aaZB9/ZCGsjvYFzvYryVNcvd2ujareuC1b8fTVW8h2++OrVMbdEwZLfssZtvTiluHtIa+V2KW1mz3Ala4u28Llj7+/m1n7mXZ3/5YT51fJSJco4DK3Rm1uuNpLgzkQ4Epbgl2K3j2bt1XTeKnRggSnHrsNZAUBrIU9xxuNOC82Zxt7//OxlrBfK0Rp7ijsJ2sDZud6SNyrsPaY08xR2FmzFeniLFbkcayFPcUUg1PVLcjUgDeYo7CilrI8XdiDSQp7ijsJsphSlS3CykgTzFHYVU0yPF3YiUtZLijkPK2khxt2FbMnIhxJeEEEoIMbgdx0uRIkWKFBvHlgO5EGIf8BRwfuvLSZEiRYoUm8V2ZOTPAr8B3PoR0RQpUqRIsbVALoT4NHBJKfX6Bh77eSHEj4QQP5qdnd3Ky6ZIkSJFih6s2+wUQrwI7FnlV18G/hvgZzfyQkqprwFfA621sok1pkiRIkWK6+CGRbOEEA8B3wGayY/GgcvAh5RS0+s8dxY4t+LHg8DcDS3m1mA3r283rw3S9W0Fu3ltsLvXt5vXBje2vv1KqaGVP9w29UMhxFngMaXUDX1wQogfrabqtVuwm9e3m9cG6fq2gt28Ntjd69vNa4PtXV86EJQiRYoUtzm2bSBIKXXPdh0rRYoUKVJsHLspI//aTi9gHezm9e3mtUG6vq1gN68Ndvf6dvPaYBvXtyMOQSlSpEiRYvuwmzLyFClSpEhxA0gDeYoUKVLc5tiVgXy3inAJIf47IcQbQogfCyG+LYQY2+k1dSCE+F0hxDvJ+r4phOjb6TX1QgjxGSHEW0KIWAixKyhhQoinhRDvCiHeF0L8051eTy+EEP+HEOKKEOLNnV7LSggh9gkh/kIIcTL5Tv/xTq+pF0IIVwjxAyHE68n6vrLTa1oJIYQhhHhNCPFn23G8XRfId7kI1+8qpY4rpT4A/Bnw3+70gnrwAnBMKXUcmAR+c4fXsxJvAr8EvLTTCwF9IQH/Evh54AHgPxVCPLCzq1qG/wt4eqcXsQZC4NeVUkeBDwP/YJd9dh7wCaXUw8AHgKeFEB/e4TWtxD8GTm7XwXZdIGcXi3Appao9/8yxi9aolPq2UqrjcfZ99KTtroFS6qRS6t2dXkcPPgS8r5Q6rZTygX8D/OIOr6kLpdRLwMJOr2M1KKWmlFKvJn+voQPS3p1d1VUojXryTyv5s2uuVSHEOPAp4H/frmPuqkC+GRGunYIQ4reFEBeAv8Puysh78feAP9/pRexy7AUu9Pz7IrsoGN0uEELcAzwCvLyzK1mOpHTxY+AK8IJSajet739CJ6vxdh3wljsEbZcI183C9danlPoTpdSXgS8LIX4T+IfAb+2WtSWP+TJ66/uHt2pdHWxkfbsIYpWf7Zqs7XaAECIP/Fvgv1yxW91xKKUi4ANJr+ibQohjSqkd7zcIIX4BuKKUekUI8fHtOu4tD+RKqSdX+3kiwnUAeF0IAbo08KoQYl0RrluxvlXwfwPf4hYG8vXWJoT4HPALwCfVDgwIbOKz2w24COzr+XdH9C3FBiCEsNBB/A+VUv9up9ezFpRSS0KI76H7DTseyIGPAJ8WQvwNwAWKQoivK6V+ZSsH3TWlFaXUT5RSw0qpe5Jx/4vAo7cyiK8HIcS9Pf/8NPDOTq1lJYQQTwP/BPi0Uqq53uNT8EPgXiHEASGEDfwy8Kc7vKbbAkJnWr8HnFRK/fOdXs9KCCGGOqwtIUQGeJJdcq0qpX5TKTWexLhfBr671SAOuyiQ3yb4Z0KIN4UQb6BLQLuJdvUvgALwQkKP/Fc7vaBeCCH+phDiIvAE8C0hxPM7uZ6kMfwPgefRzbo/Vkq9tZNr6oUQ4v8BTgD3CSEuCiF+dafX1IOPAJ8FPpGcaz9OMszdglHgL5Lr9IfoGvm20Px2K9IR/RQpUqS4zZFm5ClSpEhxmyMN5ClSpEhxmyMN5ClSpEhxmyMN5ClSpEhxmyMN5ClSpEhxmyMN5ClSpEhxmyMN5ClSpEhxm+P/ByZsDp1dI8IgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.normal(0, 1, 10000)\n",
    "y = np.random.normal(0, 1, 10000)\n",
    "plt.scatter(x, y, alpha=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
